Skip to main content
Log in

Toward the Theory of an Electric Double Layer in a Plasma

  • TRANSFER PROCESSES IN LOW-TEMPERATURE PLASMA
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

The conditions for the appearance of a double layer are considered. A theoretical description of the latter is given. Based on experimental data on probe diagnostics of oxygen and helium plasmas, a self-consistent theory of the volume charge layer is being constructed. Analysis of the phenomenon of screening the probe potential by charged particles is carried out. The procedure used for correcting the particle temperature determined by the logarithmic operation method is presented. The problem of application of Langmuir probes, the 3/2 law, and of the theory of electric double layer in a plasma is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Faraday, Experimental Researches in Electricity, Vol. 3, Taylor & Francis, London (1859).

    Google Scholar 

  2. V. I. Smirnov, A Course of Higher Mathematics, Vol. 2 [in Russian], GITTL, Moscow (1957).

    Google Scholar 

  3. V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  4. I. Langmuir, The effect of space charge and residual gases on thermiоnic currents in high vacuum, Phys. Rev., 2, Issue 6, 450-486 (1913).

    Article  Google Scholar 

  5. I. Langmuir and K. B. Blodgett, Current limited by space charge between coaxial cylinders, Phys. Rev., 22, Issue 4, 347-356 (1923).

    Article  Google Scholar 

  6. Yu. P. Raizer, Gas Discharge Physics [in Russian], Nauka, Moscow (1992).

    Google Scholar 

  7. K. A. Barzilovich, D. A. Bel’skii, S. A. Gutsev, and R. Yu. Zamchii, Short helium glow-discharge parameters, Vestn. St.-Peterburg. Gos. Univ., Ser. 4, 1, Issue 3, 335−345 (2014).

  8. V. A. Govorkov, Electric and Magnetic Fields [in Russian], Svyaz′izdat, Moscow (1951).

    Google Scholar 

  9. D. Bohm, The Characteristic of Electrical Discharge in Magnetic Field, Ch. 3, McGraw-Hill, New York (1949).

  10. Yu. M. Kagan and V. I. Perel’, Probe methods in plasma research, Usp. Fiz. Nauk, LXXXI, Issue 3, 409–452 (1963).

    Article  Google Scholar 

  11. S. A. Gutsev, Investigation of the Evolution of the Parameters of Electronegative-Gas Plasma, Candidate′s Dissertation (in Physics and Mathematics), St.-Peterburg. Gos. Univ., St. Petersburg (1997).

  12. S. A. Gutsev, Investigations of the decaying plasma of electronegative gases, J. Eng. Phys. Thermophys., 75, No. 2, 477–483 (2002).

    Article  Google Scholar 

  13. S. A. Gutsev, Toward the theory of the near-probe layer in an ion–ion plasma, Deposited in VINITI, Inzh.-Fiz. Zh., 71, No. 3, 572–573 (1998).

    Google Scholar 

  14. S. A. Gutsev, On the probe measurements in helium and oxygen plasma afterglow, Vestn. St.-Peterburg. Gos. Univ., Ser. 4, Issue 3, 16−26 (2013).

  15. P. Langevin, Oeuvres scientifiques [Russian translation], Inostrannaya Literatura, Moscow (1949).

    Google Scholar 

  16. R. P. Feynman, R. B. Leighton, and V. Sands, The Feynman Lectures on Physics, Electricity and Magnetism, Vol. 2, Adbison-Wesley Publishing Company, Inc. (1964).

  17. S. A. Gutsev, N. B. Kosykh, and A. S. Chirtsov, Influence of ion current on plasma electron temperature and density determined by probe methods, Tekh. Phys. Lett., 38, No. 2, 129−131 (2012).

    Article  Google Scholar 

  18. D. B. Belskiy, S. A. Gutsev, and N. B. Kosykh, On the probe measurements in helium plasma afterglow, Vestn. St.-Peterburg. Gos. Univ., Ser. 4, Issue 1, 254−261 (2013).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Gutsev.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 4, pp. 1059–1069, July–August, 2017.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gutsev, S.A. Toward the Theory of an Electric Double Layer in a Plasma. J Eng Phys Thermophy 90, 1010–1019 (2017). https://doi.org/10.1007/s10891-017-1651-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-017-1651-5

Keywords

Navigation